Hi Eni,
Thank you for contacting Toolset support. Most of the features you have described are provided by Toolset. Here is some feedback for you:
Need a website with a list of organisations
You can use our custom post types to create these organisations with any custom fields you wish.
We already have Divi theme lifetime license and we would like to integrate your plugin to Divi.
The integration between Divi and Toolset is robust, as you can see here:
https://toolset.com/documentation/user-guides/toolset-divi-integration/
Super admin creates accounts for each organisation.
Each organisation will have its own custom profile and account.
Custom user fields can be used to enhance traditional WordPress user profiles with custom categorization.
Each organisation will post its own projects.
Our CRED form can be used to create custom project posts, as defined by the Types plugin.
Search custom fields for each organisation like: Type field, name of organisation, category, year, area etc
Search custom fields for each project like: type filed, name, year, category etc.
Our Views plugin can be used to create custom parametric searches like you are describing, querying any of your custom fields.
You can find a similar reference following this link: hidden link
A couple of things I noticed on this page would require some custom programming to accomplish with Toolset:
1. While we do support address and map integration, as well as latitude and longitude coordinates, we do not currently offer the ability to manage custom map areas or to determine if a given location is within a custom map area.
2. Customizing search comparison using "AND" or "OR" as defined by the user is currently not supported. Any filter can be predefined on the back-end as using "AND" or "OR" to compare custom field values, but parametric searches aren't set up to allow the user to determine how their search terms will be compared.
Here's some documentation with further details about this:
https://toolset.com/documentation/user-guides/front-page-filters/
https://toolset.com/documentation/user-guides/views/
We also have a group of certified partner contractors that may be able to assist you with this type of customization. Here is the list of our contractors:
https://toolset.com/consultant/
Please let me know if I can provide any more information for you regarding the functionality you can accomplish with Toolset.